POST UTME KSU 2023 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A ray of light passes from air into a glass block with a re\fractive index of 1.5. If the angle of incidence is 30°, what is the angle of re\fraction?
A. 20°
B. 25°
C. 30°
D. 35°
Question 2
A 2 kg block is attached to a horizontal, massless spring with a force cons\tant of 100 N/m. The block is displaced by 0.2 m from its equilibrium position and released from rest. What is the angular frequency of the resulting simple harmonic motion?
A. \( \sqrt{\frac{100 , \text{N/m}}{2 , \text{kg}}} \)
B. \( \sqrt{\frac{100 , \text{N/m}}{0.2 , \text{m}}} \)
C. \( \sqrt{\frac{100 , \text{N/m}}{0.1 , \text{m}}} \)
D. \( \sqrt{\frac{100 , \text{N/m}}{0.5 , \text{m}}} \)
Question 3
A wave has a frequency of 50 Hz and a wavelength of 0.5 m. What is the speed of the wave?
A. 25 m/s
B. 50 m/s
C. 100 m/s
D. 200 m/s
Question 4
A particle of mass 0.5 kg is moving in a circular path of radius 2 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 5
A particle of mass $m$ is projected at an angle $\theta$ to the horizontal with an initial velocity $v_0$. If air resis\tance is negligible, what is the time of flight?
A. T = \frac{2v_0\cos\theta}{g}
B. T = \frac{2v_0\sin\theta}{g}
C. T = \frac{2v_0\cos\theta}{g^2}
D. T = \frac{2v_0\sin\theta}{g^2}
Question 6
A gas is heated from 300 K to 400 K at cons\tant volume. If the initial pressure is 1 atm, what is the final pressure?
A. 1.33 atm
B. 1.5 atm
C. 2 atm
D. 3 atm
Question 7
A coil of wire is placed in a magnetic field with a magnetic flux density of 0.5 T. If the coil has 100 turns and a cross-sectional area of 0.01 m^2, what is the induced emf in the coil?
A. 0.25 V
B. 0.5 V
C. 1 V
D. 2 V
Question 8
A block of mass 5 kg is attached to a spring of spring cons\tant 100 N/m. If the block is displaced by 2 m from its equilibrium position and released, what is the maximum kinetic energy of the block?
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 9
A 100 W light bulb is connected to a 220 V power source. What is the current drawn by the bulb?
A. 0.4 A
B. 0.5 A
C. 0.6 A
D. 0.7 A
Question 10
A heat engine operates between two temperatures $T_1$ and $T_2$. If the engine has an efficiency of $\eta$, what is the temperature $T_2$?
A. T_2 = T_1\( 1 - \eta \)
B. T_2 = T_1\( 1 + \eta \)
C. T_2 = T_1\( \eta - 1 \)
D. T_2 = T_1\( \eta + 1 \)
Question 11
A circuit consists of a 10 Ω resistor, a 20 Ω resistor, and a 100 Ω resistor connected in series. If a voltage of 20 V is applied across the circuit, what is the current through the 100 Ω resistor?
A. 0.2 A
B. 0.4 A
C. 0.6 A
D. 0.8 A
Question 12
A heat engine operates between two temperatures of 500 K and 300 K. If the engine has an efficiency of 30%, what is the maximum possible work output?
A. 100 J
B. 200 J
C. 300 J
D. 400 J
Question 13
A 2 kg object is moving in a circular path with a radius of 3 m. If the object has a speed of 4 m/s, what is the magnitude of the net force acting on the object?
A. 10 N
B. 20 N
C. 30 N
D. 40 N
Question 14
A point charge of 3 μC is placed at a dis\tance of 0.5 m from a point charge of -2 μC. What is the electric potential at the point midway between the two charges?
A. \( \frac{3 , mu\text{C}}{0.5 , \text{m}} - \frac{2 , mu\text{C}}{0.5 , \text{m}} \)
B. \( \frac{3 , mu\text{C}}{0.5 , \text{m}} + \frac{2 , mu\text{C}}{0.5 , \text{m}} \)
C. \( \frac{3 , mu\text{C}}{0.25 , \text{m}} - \frac{2 , mu\text{C}}{0.25 , \text{m}} \)
D. \( \frac{3 , mu\text{C}}{0.25 , \text{m}} + \frac{2 , mu\text{C}}{0.25 , \text{m}} \)
Question 15
A particle of mass 1 kg is moving in a straight line with an initial velocity of 2 m/s. If the particle experiences a cons\tant acceleration of 3 m/s², what is the velocity of the particle after 4 seconds?
A. 5 m/s
B. 6 m/s
C. 7 m/s
D. 8 m/s

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